Bayes Error Rate Formula

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After studying the principle of the Bayes Error Rate, i tried to deduce the error formula and i came with :



$p=1-int P(C_imid x)p(x),dx$ where $C_i$ is for each $x$ the class that maximizes the probability.



Then i went into the Bayes error rate wiki page and i found a different formula. However, i'm not able to understand why mine is not correct. Can you show me ?
Thanks for your time




probability statistics




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    up vote
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    down vote

    favorite












    After studying the principle of the Bayes Error Rate, i tried to deduce the error formula and i came with :



    $p=1-int P(C_imid x)p(x),dx$ where $C_i$ is for each $x$ the class that maximizes the probability.



    Then i went into the Bayes error rate wiki page and i found a different formula. However, i'm not able to understand why mine is not correct. Can you show me ?
    Thanks for your time




    probability statistics




    share|cite|improve this question























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      After studying the principle of the Bayes Error Rate, i tried to deduce the error formula and i came with :



      $p=1-int P(C_imid x)p(x),dx$ where $C_i$ is for each $x$ the class that maximizes the probability.



      Then i went into the Bayes error rate wiki page and i found a different formula. However, i'm not able to understand why mine is not correct. Can you show me ?
      Thanks for your time




      probability statistics




      share|cite|improve this question













      After studying the principle of the Bayes Error Rate, i tried to deduce the error formula and i came with :



      $p=1-int P(C_imid x)p(x),dx$ where $C_i$ is for each $x$ the class that maximizes the probability.



      Then i went into the Bayes error rate wiki page and i found a different formula. However, i'm not able to understand why mine is not correct. Can you show me ?
      Thanks for your time





      probability statistics





      share|cite|improve this question












      share|cite|improve this question




      share|cite|improve this question








      edited Jul 18 at 19:50









      Michael Hardy

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      204k23186463









      asked Jul 16 at 12:59









      Koinos

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